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Finding the Fourth Proportional to 7,355.66, 11,033.37 and 2,970

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Solution

The fourth proportional to 7,355.66, 11,033.37 and 2,970 is: 4,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.66 : 11,033.37 = 2,970 : x
  2. Step 2: Convert to fraction form
    7,355.66/11,033.37 = 2,970/x
  3. Step 3: Cross multiply
    7,355.66x = 11,033.37 × 2,970
  4. Step 4: Simplify right side
    7,355.66x = 32,769,108.90
  5. Step 5: Solve for x
    x = 32,769,108.90/7,355.66
  6. Step 6: Final answer
    x = 4,454.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.